7q+6=12q-24

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Solution for 7q+6=12q-24 equation:


Simplifying
7q + 6 = 12q + -24

Reorder the terms:
6 + 7q = 12q + -24

Reorder the terms:
6 + 7q = -24 + 12q

Solving
6 + 7q = -24 + 12q

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-12q' to each side of the equation.
6 + 7q + -12q = -24 + 12q + -12q

Combine like terms: 7q + -12q = -5q
6 + -5q = -24 + 12q + -12q

Combine like terms: 12q + -12q = 0
6 + -5q = -24 + 0
6 + -5q = -24

Add '-6' to each side of the equation.
6 + -6 + -5q = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -5q = -24 + -6
-5q = -24 + -6

Combine like terms: -24 + -6 = -30
-5q = -30

Divide each side by '-5'.
q = 6

Simplifying
q = 6

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